205830180 has 48 divisors (see below), whose sum is σ = 640362240. Its totient is φ = 54887904.

The previous prime is 205830161. The next prime is 205830181. The reversal of 205830180 is 81038502.

It is a happy number.

205830180 is a `hidden beast` number, since 2 + 0 + 583 + 0 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205830181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190044 + ... + 191123.

It is an arithmetic number, because the mean of its divisors is an integer number (13340880).

Almost surely, 2^205830180 is an apocalyptic number.

205830180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205830180 is an abundant number, since it is smaller than the sum of its proper divisors (434532060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205830180 is a wasteful number, since it uses less digits than its factorization.

205830180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381185 (or 381177 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 205830180 is about 14346.7829146468. The cubic root of 205830180 is about 590.4317246156.

Adding to 205830180 its reverse (81038502), we get a palindrome (286868682).

The spelling of 205830180 in words is "two hundred five million, eight hundred thirty thousand, one hundred eighty".